## KateMarie123 3 years ago Jimmy’s proof: Statement 1: In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent) Statement 2: Angle ADC = Angle BCD (angles of a rectangle are 90°) Statement 3: DC=DC (transitive property of equality) Statement 4: Triangle ADC and BCD are congruent (by SAS postulate) Statement 5: AC = BD (by CPCTC) Which statement in Jimmy’s proof has an error?

1. KateMarie123

2. King

no error

3. Hashir

yeah apparently there is no error !!

4. King

Yippee!!Cheers for Jimmy!!

5. Hashir

no i think there can be a mistake in statement five ..... if you consider each statement independent of each other then in statement 5 the student have not mentioned the congruent triangle so may be it can be considered as incorrect ever though the relation is correct

6. Hashir

ever=even

I guess.. there could be an error in statement 1 , where he says that "opposite sides of a rectangle are congruent)" but .. as far as i know, you never say they are 'congruent', you always say they are 'equal'! :/

8. King

if u consider each statement independent then statement 4 is also wrong as u cannot say 2 triangles are congruent without proof or reason.....

9. Hashir

thats CPCTC may be incorrect ....

10. King

as far as i know its CPCT[Corresponding Parts of Congruent Triangles] NOT CPCTC

11. King

nah CPCTC is rite its [Corresponding Parts of Congruent Triangles are Congruent]

@Hashir : Naah, 'CPCTC' is absolutely correct.. because.. he already proved that the 2 triangles are equal by SAS postulate..

13. Hashir

i am saying that there may be a possibility .... if we consider each statement independent

CPCTC ('Corresponding parts of congruent triangles are congruent') is nothing but another name/abbr. for CPCT ..

15. King

Okay Conclusion:Jimmy is an over-cautious idiot trying to find a mistake in an absolutely correct proof!!

16. Hashir

so 3 has a problem ... 3 is incorrect ... got it now

17. King

whats wrong in 3??DC=DC is not true?

18. Hashir

bro in transitive property we prove that if a=b and b=c then a=c .... not a=a !!!

19. Hashir

it doesnt make any sense

@Hashir : I totally agree with you!!.. transitive property is --> if a=b, and b=c .. a=c! :P

21. Hashir

it can be correct if he says that DC=CD

22. Hashir

but he didnt say that

23. King

oh!ok!i did not know that!!so yes Jimmy being over-cautious helped him as @Hashir the detective finds the criminal eluding his 2 pardnas!

24. King

;D